Finding the Third Proportional to 12,904 and 23,003
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Solution
The third proportional to 12,904 and 23,003 is: 41,005.74
Step by Step Solution
- Step 1: Write the proportion equation
12,904 : 23,003 = 23,003 : x - Step 2: Convert to fraction form
12,904/23,003 = 23,003/x - Step 3: Cross multiply
12,904x = 23,003 × 23,003 - Step 4: Simplify right side
12,904x = 529,138,009 - Step 5: Solve for x
x = 529,138,009/12,904 - Step 6: Final answer
x = 41,005.74
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.